85951441 has 9 divisors (see below), whose sum is σ = 87836571. Its totient is φ = 84106512.

The previous prime is 85951427. The next prime is 85951469. The reversal of 85951441 is 14415958.

The square root of 85951441 is 9271.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 48790225 + 37161216 = 6985^2 + 6096^2 .

It is not a de Polignac number, because 85951441 - 2¹⁵ = 85918673 is a prime.

It is a Duffinian number.

Its product of digits (28800) is a multiple of the sum of its prime divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 85951441.

It is not an unprimeable number, because it can be changed into a prime (85951741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 676720 + ... + 676846.

It is an arithmetic number, because the mean of its divisors is an integer number (9759619).

Almost surely, 2^85951441 is an apocalyptic number.

85951441 is the 9271-st square number.

85951441 is the 4636-th centered octagonal number.

It is an amenable number.

85951441 is a deficient number, since it is larger than the sum of its proper divisors (1885130).

85951441 is an frugal number, since it uses more digits than its factorization.

85951441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 200 counting only the distinct ones).

The product of its digits is 28800, while the sum is 37.

The cubic root of 85951441 is about 441.3174032127.

The spelling of 85951441 in words is "eighty-five million, nine hundred fifty-one thousand, four hundred forty-one".