85032961 has 8 divisors (see below), whose sum is σ = 96393920. Its totient is φ = 74360592.

The previous prime is 85032949. The next prime is 85033019. The reversal of 85032961 is 16923058.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85032961 - 2¹⁷ = 84901889 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85032461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171885 + ... + 172378.

It is an arithmetic number, because the mean of its divisors is an integer number (12049240).

It is a Proth number, since it is equal to 2595 ⋅ 2¹⁵ + 1 and 2595 < 2¹⁵.

Almost surely, 2^85032961 is an apocalyptic number.

It is an amenable number.

85032961 is a deficient number, since it is larger than the sum of its proper divisors (11360959).

85032961 is a wasteful number, since it uses less digits than its factorization.

85032961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344295.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 85032961 is about 9221.3318452380. The cubic root of 85032961 is about 439.7397927743.

The spelling of 85032961 in words is "eighty-five million, thirty-two thousand, nine hundred sixty-one".