977892241 has 32 divisors (see below), whose sum is σ = 1100832768. Its totient is φ = 864414720.

The previous prime is 977892233. The next prime is 977892259. The reversal of 977892241 is 142298779.

977892241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 3-Lehmer number, since φ(977892241) divides (977892241-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 977892241 - 2³ = 977892233 is a prime.

It is a deceptive number, since it divides R_977892240.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (977892221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4385056 + ... + 4385278.

It is an arithmetic number, because the mean of its divisors is an integer number (34401024).

It is a Poulet number, since it divides 2^977892240-1.

Almost surely, 2^977892241 is an apocalyptic number.

It is an amenable number.

977892241 is a deficient number, since it is larger than the sum of its proper divisors (122940527).

977892241 is a wasteful number, since it uses less digits than its factorization.

977892241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481.

The product of its digits is 508032, while the sum is 49.

The square root of 977892241 is about 31271.2686183340. The cubic root of 977892241 is about 992.5757641279.

The spelling of 977892241 in words is "nine hundred seventy-seven million, eight hundred ninety-two thousand, two hundred forty-one".