345402225 has 135 divisors (see below), whose sum is σ = 757090587. Its totient is φ = 155221920.

The previous prime is 345402223. The next prime is 345402251. The reversal of 345402225 is 522204543.

It is a happy number.

The square root of 345402225 is 18585.

It is a perfect power (a square), and thus also a powerful number.

345402225 is a `hidden beast` number, since 34 + 5 + 402 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124344801 + 221057424 = 11151^2 + 14868^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 345402225 - 2¹ = 345402223 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (345402223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5854246 + ... + 5854304.

Almost surely, 2^345402225 is an apocalyptic number.

345402225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

345402225 is the 18585-th square number.

345402225 is the 9293-rd centered octagonal number.

It is an amenable number.

345402225 is an abundant number, since it is smaller than the sum of its proper divisors (411688362).

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

345402225 is an equidigital number, since it uses as much as digits as its factorization.

345402225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The cubic root of 345402225 is about 701.6303664404.

Adding to 345402225 its reverse (522204543), we get a palindrome (867606768).

The spelling of 345402225 in words is "three hundred forty-five million, four hundred two thousand, two hundred twenty-five".