345654 has 32 divisors (see below), whose sum is σ = 793440. Its totient is φ = 111456.

The previous prime is 345647. The next prime is 345659. The reversal of 345654 is 456543.

345654 is a `hidden beast` number, since 3 + 4 + 5 + 654 = 666.

345654 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345654.

It is not an unprimeable number, because it can be changed into a prime (345659) by changing a digit.

345654 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1912 + ... + 2084.

It is an arithmetic number, because the mean of its divisors is an integer number (24795).

2³⁴⁵⁶⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396720).

345654 is an abundant number, since it is smaller than the sum of its proper divisors (447786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345654 is a wasteful number, since it uses less digits than its factorization.

345654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 345654 is about 587.9234644067. The cubic root of 345654 is about 70.1800805489.

Subtracting 345654 from its reverse (456543), we obtain a square (110889 = 333²).

It can be divided in two parts, 3456 and 54, that multiplied together give a square (186624 = 432²).

The spelling of 345654 in words is "three hundred forty-five thousand, six hundred fifty-four".