10420971 has 16 divisors (see below), whose sum is σ = 15212928. Its totient is φ = 6292800.

The previous prime is 10420961. The next prime is 10420997. The reversal of 10420971 is 17902401.

It is not a de Polignac number, because 10420971 - 2¹¹ = 10418923 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10420901) 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 15 ways as a sum of consecutive naturals, for example, 14736 + ... + 15426.

It is an arithmetic number, because the mean of its divisors is an integer number (950808).

Almost surely, 2^10420971 is an apocalyptic number.

10420971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10420971 is a deficient number, since it is larger than the sum of its proper divisors (4791957).

10420971 is a wasteful number, since it uses less digits than its factorization.

10420971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10420971 is about 3228.1528774208. The cubic root of 10420971 is about 218.4251934938.

The spelling of 10420971 in words is "ten million, four hundred twenty thousand, nine hundred seventy-one".