882961 has 2 divisors, whose sum is σ = 882962. Its totient is φ = 882960.

The previous prime is 882953. The next prime is 882967. The reversal of 882961 is 169288.

882961 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., 591361 + 291600 = 769^2 + 540^2 .

It is a cyclic number.

It is not a de Polignac number, because 882961 - 2³ = 882953 is a prime.

It is not a weakly prime, because it can be changed into another prime (882967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 441480 + 441481.

It is an arithmetic number, because the mean of its divisors is an integer number (441481).

2⁸⁸²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

882961 is a deficient number, since it is larger than the sum of its proper divisors (1).

882961 is an equidigital number, since it uses as much as digits as its factorization.

882961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6912, while the sum is 34.

The square root of 882961 is about 939.6600449099. The cubic root of 882961 is about 95.9357570763.

The spelling of 882961 in words is "eight hundred eighty-two thousand, nine hundred sixty-one".