20954961 has 12 divisors (see below), whose sum is σ = 30609540. Its totient is φ = 13812480.

The previous prime is 20954959. The next prime is 20955017. The reversal of 20954961 is 16945902.

It can be written as a sum of positive squares in 2 ways, for example, as 4601025 + 16353936 = 2145^2 + 4044^2 .

It is not a de Polignac number, because 20954961 - 2¹ = 20954959 is a prime.

It is a super-2 number, since 2×20954961² = 878220781023042, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20954911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12280 + ... + 13881.

It is an arithmetic number, because the mean of its divisors is an integer number (2550795).

Almost surely, 2^20954961 is an apocalyptic number.

It is an amenable number.

20954961 is a deficient number, since it is larger than the sum of its proper divisors (9654579).

20954961 is a wasteful number, since it uses less digits than its factorization.

20954961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26256 (or 26253 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 20954961 is about 4577.6588994813. The cubic root of 20954961 is about 275.6950396612.

It can be divided in two parts, 2095 and 4961, that added together give a square (7056 = 84²).

The spelling of 20954961 in words is "twenty million, nine hundred fifty-four thousand, nine hundred sixty-one".