75955957 has 16 divisors (see below), whose sum is σ = 96118272. Its totient is φ = 58299120.

The previous prime is 75955937. The next prime is 75955963.

75955957 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75955957 - 2²³ = 67567349 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 (75955937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2203 + ... + 12520.

It is an arithmetic number, because the mean of its divisors is an integer number (6007392).

Almost surely, 2^75955957 is an apocalyptic number.

75955957 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

75955957 is a deficient number, since it is larger than the sum of its proper divisors (20162315).

75955957 is a wasteful number, since it uses less digits than its factorization.

75955957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14808.

The product of its digits is 2480625, while the sum is 52.

The square root of 75955957 is about 8715.2714817153. The cubic root of 75955957 is about 423.5005187643.

The spelling of 75955957 in words is "seventy-five million, nine hundred fifty-five thousand, nine hundred fifty-seven".