432657 has 6 divisors (see below), whose sum is σ = 624962. Its totient is φ = 288432.

The previous prime is 432637. The next prime is 432659. The reversal of 432657 is 756234.

It is a happy number.

432657 is a `hidden beast` number, since 4 + 3 + 2 + 657 = 666.

It can be written as a sum of positive squares in only one way, i.e., 408321 + 24336 = 639^2 + 156^2 .

It is not a de Polignac number, because 432657 - 2⁸ = 432401 is a prime.

It is a Duffinian number.

432657 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 432657.

It is not an unprimeable number, because it can be changed into a prime (432659) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24028 + ... + 24045.

2⁴³²⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

432657 is a deficient number, since it is larger than the sum of its proper divisors (192305).

432657 is a wasteful number, since it uses less digits than its factorization.

432657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48079 (or 48076 counting only the distinct ones).

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

The square root of 432657 is about 657.7666759574. The cubic root of 432657 is about 75.6335661813.

It can be divided in two parts, 432 and 657, that added together give a square (1089 = 33²).

The spelling of 432657 in words is "four hundred thirty-two thousand, six hundred fifty-seven".