412957 has 4 divisors (see below), whose sum is σ = 424156. Its totient is φ = 401760.

The previous prime is 412949. The next prime is 412967. The reversal of 412957 is 759214.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 759214 = 2 ⋅379607.

It can be written as a sum of positive squares in 2 ways, for example, as 168921 + 244036 = 411^2 + 494^2 .

It is a cyclic number.

It is not a de Polignac number, because 412957 - 2³ = 412949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5544 + ... + 5617.

It is an arithmetic number, because the mean of its divisors is an integer number (106039).

2⁴¹²⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

412957 is a deficient number, since it is larger than the sum of its proper divisors (11199).

412957 is a wasteful number, since it uses less digits than its factorization.

412957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11198.

The product of its digits is 2520, while the sum is 28.

The square root of 412957 is about 642.6173044667. The cubic root of 412957 is about 74.4677577702.

It can be divided in two parts, 4129 and 57, that added together give a triangular number (4186 = T₉₁).

The spelling of 412957 in words is "four hundred twelve thousand, nine hundred fifty-seven".