910972953 has 32 divisors (see below), whose sum is σ = 1476144000. Its totient is φ = 550656000.

The previous prime is 910972927. The next prime is 910972961. The reversal of 910972953 is 359279019.

It is a happy number.

It is not a de Polignac number, because 910972953 - 2⁶ = 910972889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 910972899 and 910972908.

It is not an unprimeable number, because it can be changed into a prime (910972253) 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 31 ways as a sum of consecutive naturals, for example, 115273 + ... + 122921.

It is an arithmetic number, because the mean of its divisors is an integer number (46129500).

Almost surely, 2^910972953 is an apocalyptic number.

It is an amenable number.

910972953 is a deficient number, since it is larger than the sum of its proper divisors (565171047).

910972953 is a wasteful number, since it uses less digits than its factorization.

910972953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8070 (or 8064 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 910972953 is about 30182.3284887035. The cubic root of 910972953 is about 969.3973487584.

It can be divided in two parts, 910972 and 953, that added together give a triangular number (911925 = T₁₃₅₀).

The spelling of 910972953 in words is "nine hundred ten million, nine hundred seventy-two thousand, nine hundred fifty-three".