977000049 has 45 divisors (see below), whose sum is σ = 1535854089. Its totient is φ = 618888600.

The previous prime is 977000041. The next prime is 977000069. The reversal of 977000049 is 940000779.

The square root of 977000049 is 31257.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 977000049 - 2³ = 977000041 is a prime.

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 a junction number, because it is equal to n+sod(n) for n = 976999977 and 977000022.

It is not an unprimeable number, because it can be changed into a prime (977000041) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6470124 + ... + 6470274.

Almost surely, 2^977000049 is an apocalyptic number.

977000049 is the 31257-th square number.

977000049 is the 15629-th centered octagonal number.

It is an amenable number.

977000049 is a deficient number, since it is larger than the sum of its proper divisors (558854040).

977000049 is an equidigital number, since it uses as much as digits as its factorization.

977000049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The cubic root of 977000049 is about 992.2738093810.

Multiplying 977000049 by its sum of digits (36), we get a square (35172001764 = 187542²).

Multiplying 977000049 by its product of nonzero digits (15876), we get a square (15510852777924 = 3938382²).

The spelling of 977000049 in words is "nine hundred seventy-seven million, forty-nine", and thus it is an aban number.