71653953 has 32 divisors (see below), whose sum is σ = 113360896. Its totient is φ = 39408768.

The previous prime is 71653949. The next prime is 71653961. The reversal of 71653953 is 35935617.

It is not a de Polignac number, because 71653953 - 2² = 71653949 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71653903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65376 + ... + 66462.

It is an arithmetic number, because the mean of its divisors is an integer number (3542528).

Almost surely, 2^71653953 is an apocalyptic number.

71653953 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

71653953 is a deficient number, since it is larger than the sum of its proper divisors (41706943).

71653953 is a wasteful number, since it uses less digits than its factorization.

71653953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213.

The product of its digits is 85050, while the sum is 39.

The square root of 71653953 is about 8464.8657992906. The cubic root of 71653953 is about 415.3492062436.

The spelling of 71653953 in words is "seventy-one million, six hundred fifty-three thousand, nine hundred fifty-three".