10084977 has 12 divisors (see below), whose sum is σ = 16648320. Its totient is φ = 5762808.

The previous prime is 10084967. The next prime is 10085027. The reversal of 10084977 is 77948001.

10084977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10084977 - 2⁶ = 10084913 is a prime.

It is a super-2 number, since 2×10084977² = 203413522181058, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10084957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79977 + ... + 80102.

It is an arithmetic number, because the mean of its divisors is an integer number (1387360).

Almost surely, 2^10084977 is an apocalyptic number.

It is an amenable number.

10084977 is a deficient number, since it is larger than the sum of its proper divisors (6563343).

10084977 is a wasteful number, since it uses less digits than its factorization.

10084977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160092 (or 160089 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 10084977 is about 3175.6852803765. The cubic root of 10084977 is about 216.0520065103.

The spelling of 10084977 in words is "ten million, eighty-four thousand, nine hundred seventy-seven".