71530953 has 32 divisors (see below), whose sum is σ = 111081600. Its totient is φ = 40559616.

The previous prime is 71530939. The next prime is 71530957. The reversal of 71530953 is 35903517.

It is not a de Polignac number, because 71530953 - 2⁶ = 71530889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71530957) 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, 26113 + ... + 28721.

It is an arithmetic number, because the mean of its divisors is an integer number (3471300).

Almost surely, 2^71530953 is an apocalyptic number.

It is an amenable number.

71530953 is a deficient number, since it is larger than the sum of its proper divisors (39550647).

71530953 is a wasteful number, since it uses less digits than its factorization.

71530953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681.

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 71530953 is about 8457.5973538588. The cubic root of 71530953 is about 415.1114095816. Note that the first 3 decimals are identical.

The spelling of 71530953 in words is "seventy-one million, five hundred thirty thousand, nine hundred fifty-three".