85961729 has 12 divisors (see below), whose sum is σ = 103223808. Its totient is φ = 71303400.

The previous prime is 85961723. The next prime is 85961753. The reversal of 85961729 is 92716958.

It is not a de Polignac number, because 85961729 - 2¹² = 85957633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85961723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26777 + ... + 29814.

It is an arithmetic number, because the mean of its divisors is an integer number (8601984).

Almost surely, 2^85961729 is an apocalyptic number.

It is an amenable number.

85961729 is a deficient number, since it is larger than the sum of its proper divisors (17262079).

85961729 is a wasteful number, since it uses less digits than its factorization.

85961729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56636 (or 56629 counting only the distinct ones).

The product of its digits is 272160, while the sum is 47.

The square root of 85961729 is about 9271.5548318499. The cubic root of 85961729 is about 441.3350104115.

The spelling of 85961729 in words is "eighty-five million, nine hundred sixty-one thousand, seven hundred twenty-nine".