342657 has 32 divisors (see below), whose sum is σ = 608000. Its totient is φ = 190512.

The previous prime is 342653. The next prime is 342659. The reversal of 342657 is 756243.

It is a happy number.

342657 is a `hidden beast` number, since 3 + 4 + 2 + 657 = 666.

It is not a de Polignac number, because 342657 - 2² = 342653 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 342657.

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 342657.

It is not an unprimeable number, because it can be changed into a prime (342653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9243 + ... + 9279.

It is an arithmetic number, because the mean of its divisors is an integer number (19000).

2³⁴²⁶⁵⁷ is an apocalyptic number.

342657 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

342657 is a deficient number, since it is larger than the sum of its proper divisors (265343).

342657 is an equidigital number, since it uses as much as digits as its factorization.

342657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 342657 is about 585.3691143202. The cubic root of 342657 is about 69.9766588846.

It can be divided in two parts, 342 and 657, that added together give a palindrome (999).

The spelling of 342657 in words is "three hundred forty-two thousand, six hundred fifty-seven".