45964919 has 32 divisors (see below), whose sum is σ = 63092736. Its totient is φ = 32325120.

The previous prime is 45964871. The next prime is 45964931. The reversal of 45964919 is 91946954.

It is a cyclic number.

It is not a de Polignac number, because 45964919 - 2²⁴ = 29187703 is a prime.

It is a super-2 number, since 2×45964919² = 4225547557353122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45964969) 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, 46559 + ... + 47535.

It is an arithmetic number, because the mean of its divisors is an integer number (1971648).

Almost surely, 2^45964919 is an apocalyptic number.

45964919 is a deficient number, since it is larger than the sum of its proper divisors (17127817).

45964919 is a wasteful number, since it uses less digits than its factorization.

45964919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055.

The product of its digits is 349920, while the sum is 47.

The square root of 45964919 is about 6779.7432842254. The cubic root of 45964919 is about 358.2136792253.

The spelling of 45964919 in words is "forty-five million, nine hundred sixty-four thousand, nine hundred nineteen".