85201779 has 16 divisors (see below), whose sum is σ = 122689952. Its totient is φ = 52282368.

The previous prime is 85201777. The next prime is 85201783. The reversal of 85201779 is 97710258.

It is not a de Polignac number, because 85201779 - 2¹ = 85201777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85201771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11619 + ... + 17475.

It is an arithmetic number, because the mean of its divisors is an integer number (7668122).

Almost surely, 2^85201779 is an apocalyptic number.

85201779 is a deficient number, since it is larger than the sum of its proper divisors (37488173).

85201779 is a wasteful number, since it uses less digits than its factorization.

85201779 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246.

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 85201779 is about 9230.4809733838. The cubic root of 85201779 is about 440.0306090965.

The spelling of 85201779 in words is "eighty-five million, two hundred one thousand, seven hundred seventy-nine".