54007965 has 64 divisors (see below), whose sum is σ = 106272000. Its totient is φ = 26127360.

The previous prime is 54007939. The next prime is 54007981. The reversal of 54007965 is 56970045.

It is not a de Polignac number, because 54007965 - 2¹⁰ = 54006941 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120061 + ... + 120509.

It is an arithmetic number, because the mean of its divisors is an integer number (1660500).

Almost surely, 2^54007965 is an apocalyptic number.

54007965 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54007965 is a deficient number, since it is larger than the sum of its proper divisors (52264035).

54007965 is an equidigital number, since it uses as much as digits as its factorization.

54007965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 54007965 is about 7349.0111579722. The cubic root of 54007965 is about 377.9948978903.

The spelling of 54007965 in words is "fifty-four million, seven thousand, nine hundred sixty-five".