57105465 has 32 divisors (see below), whose sum is σ = 97251840. Its totient is φ = 28514304.

The previous prime is 57105457. The next prime is 57105487. The reversal of 57105465 is 56450175.

57105465 = 493² + 494² + ... + 662².

It is not a de Polignac number, because 57105465 - 2³ = 57105457 is a prime.

It is a super-2 number, since 2×57105465² = 6522068265732450, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60477 + ... + 61413.

It is an arithmetic number, because the mean of its divisors is an integer number (3039120).

Almost surely, 2^57105465 is an apocalyptic number.

It is an amenable number.

57105465 is a deficient number, since it is larger than the sum of its proper divisors (40146375).

57105465 is a wasteful number, since it uses less digits than its factorization.

57105465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201.

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 57105465 is about 7556.8157976756. The cubic root of 57105465 is about 385.0873248816.

It can be divided in two parts, 5710 and 5465, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 57105465 in words is "fifty-seven million, one hundred five thousand, four hundred sixty-five".