959078961 has 63 divisors (see below), whose sum is σ = 1527086043. Its totient is φ = 602037360.

The previous prime is 959078959. The next prime is 959078977. The reversal of 959078961 is 169870959.

The square root of 959078961 is 30969.

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

It can be written as a sum of positive squares in only one way, i.e., 858197025 + 100881936 = 29295^2 + 10044^2 .

It is not a de Polignac number, because 959078961 - 2¹ = 959078959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 959078898 and 959078907.

It is not an unprimeable number, because it can be changed into a prime (959078921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 25921035 + ... + 25921071.

It is an arithmetic number, because the mean of its divisors is an integer number (24239461).

Almost surely, 2^959078961 is an apocalyptic number.

959078961 is the 30969-th square number.

959078961 is the 15485-th centered octagonal number.

It is an amenable number.

959078961 is a deficient number, since it is larger than the sum of its proper divisors (568007082).

959078961 is an frugal number, since it uses more digits than its factorization.

959078961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The cubic root of 959078961 is about 986.1692457988.

The spelling of 959078961 in words is "nine hundred fifty-nine million, seventy-eight thousand, nine hundred sixty-one".