983954961 has 24 divisors (see below), whose sum is σ = 1561813344. Its totient is φ = 591975360.

The previous prime is 983954947. The next prime is 983954969. The reversal of 983954961 is 169459389.

983954961 is a `hidden beast` number, since 9 + 8 + 39 + 549 + 61 = 666.

It is not a de Polignac number, because 983954961 - 2⁵ = 983954929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 983954898 and 983954907.

It is not an unprimeable number, because it can be changed into a prime (983954969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22711 + ... + 49836.

It is an arithmetic number, because the mean of its divisors is an integer number (65075556).

Almost surely, 2^983954961 is an apocalyptic number.

It is an amenable number.

983954961 is a deficient number, since it is larger than the sum of its proper divisors (577858383).

983954961 is a wasteful number, since it uses less digits than its factorization.

983954961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72701 (or 72698 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 983954961 is about 31368.0563790618. The cubic root of 983954961 is about 994.6227911175.

The spelling of 983954961 in words is "nine hundred eighty-three million, nine hundred fifty-four thousand, nine hundred sixty-one".