10077975 has 36 divisors (see below), whose sum is σ = 18454176. Its totient is φ = 5255040.

The previous prime is 10077971. The next prime is 10077983. The reversal of 10077975 is 57977001.

It is not a de Polignac number, because 10077975 - 2² = 10077971 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10099 + ... + 11051.

It is an arithmetic number, because the mean of its divisors is an integer number (512616).

Almost surely, 2^10077975 is an apocalyptic number.

10077975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10077975 is a deficient number, since it is larger than the sum of its proper divisors (8376201).

10077975 is a wasteful number, since it uses less digits than its factorization.

10077975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 15435, while the sum is 36.

The square root of 10077975 is about 3174.5826497352. The cubic root of 10077975 is about 216.0019932944.

The spelling of 10077975 in words is "ten million, seventy-seven thousand, nine hundred seventy-five".