893710961 has 48 divisors (see below), whose sum is σ = 1179763200. Its totient is φ = 668321280.

The previous prime is 893710957. The next prime is 893711017. The reversal of 893710961 is 169017398.

893710961 = 1963² + 1964² + ... + 2171².

893710961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 893710961 - 2² = 893710957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893710361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507200 + ... + 508958.

It is an arithmetic number, because the mean of its divisors is an integer number (24578400).

Almost surely, 2^893710961 is an apocalyptic number.

It is an amenable number.

893710961 is a deficient number, since it is larger than the sum of its proper divisors (286052239).

893710961 is a wasteful number, since it uses less digits than its factorization.

893710961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 44.

The square root of 893710961 is about 29894.9989295869. The cubic root of 893710961 is about 963.2352368619.

The spelling of 893710961 in words is "eight hundred ninety-three million, seven hundred ten thousand, nine hundred sixty-one".