9977013 has 20 divisors (see below), whose sum is σ = 15311340. Its totient is φ = 6469632.

The previous prime is 9976937. The next prime is 9977021. The reversal of 9977013 is 3107799.

9977013 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6671889 + 3305124 = 2583^2 + 1818^2 .

It is not a de Polignac number, because 9977013 - 2¹⁰ = 9975989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9977053) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1333 + ... + 4661.

It is an arithmetic number, because the mean of its divisors is an integer number (765567).

Almost surely, 2^9977013 is an apocalyptic number.

9977013 is the 1998-th heptagonal number.

It is an amenable number.

9977013 is a deficient number, since it is larger than the sum of its proper divisors (5334327).

9977013 is a wasteful number, since it uses less digits than its factorization.

9977013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 11907, while the sum is 36.

The square root of 9977013 is about 3158.6410052426. The cubic root of 9977013 is about 215.2782623842.

The spelling of 9977013 in words is "nine million, nine hundred seventy-seven thousand, thirteen".