977013101 has 2 divisors, whose sum is σ = 977013102. Its totient is φ = 977013100.

The previous prime is 977013053. The next prime is 977013127. The reversal of 977013101 is 101310779.

977013101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 742617001 + 234396100 = 27251^2 + 15310^2 .

It is a cyclic number.

It is not a de Polignac number, because 977013101 - 2²² = 972818797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (977013181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 488506550 + 488506551.

It is an arithmetic number, because the mean of its divisors is an integer number (488506551).

Almost surely, 2^977013101 is an apocalyptic number.

It is an amenable number.

977013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

977013101 is an equidigital number, since it uses as much as digits as its factorization.

977013101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1323, while the sum is 29.

The square root of 977013101 is about 31257.2087845348. The cubic root of 977013101 is about 992.2782280434.

The spelling of 977013101 in words is "nine hundred seventy-seven million, thirteen thousand, one hundred one".