71886953 has 6 divisors (see below), whose sum is σ = 72473706. Its totient is φ = 71304912.

The previous prime is 71886929. The next prime is 71886961. The reversal of 71886953 is 35968817.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66064384 + 5822569 = 8128^2 + 2413^2 .

It is not a de Polignac number, because 71886953 - 2⁸ = 71886697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 71886898 and 71886907.

It is not an unprimeable number, because it can be changed into a prime (71885953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13901 + ... + 18357.

It is an arithmetic number, because the mean of its divisors is an integer number (12078951).

Almost surely, 2^71886953 is an apocalyptic number.

It is an amenable number.

71886953 is a deficient number, since it is larger than the sum of its proper divisors (586753).

71886953 is an equidigital number, since it uses as much as digits as its factorization.

71886953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711 (or 4584 counting only the distinct ones).

The product of its digits is 362880, while the sum is 47.

The square root of 71886953 is about 8478.6173990811. The cubic root of 71886953 is about 415.7989216368.

It can be divided in two parts, 7188 and 6953, that added together give a palindrome (14141).

The spelling of 71886953 in words is "seventy-one million, eight hundred eighty-six thousand, nine hundred fifty-three".