85981941 has 48 divisors (see below), whose sum is σ = 134184960. Its totient is φ = 52958880.

The previous prime is 85981933. The next prime is 85981949. The reversal of 85981941 is 14918958.

85981941 is a `hidden beast` number, since 8 + 598 + 19 + 41 = 666.

85981941 is a nontrivial binomial coefficient, being equal to C(13114, 2).

It is an interprime number because it is at equal distance from previous prime (85981933) and next prime (85981949).

It is not a de Polignac number, because 85981941 - 2³ = 85981933 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85981949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1035886 + ... + 1035968.

It is an arithmetic number, because the mean of its divisors is an integer number (2795520).

Almost surely, 2^85981941 is an apocalyptic number.

85981941 is the 13113-rd triangular number and also the 6557-th hexagonal number.

It is an amenable number.

85981941 is a deficient number, since it is larger than the sum of its proper divisors (48203019).

85981941 is a wasteful number, since it uses less digits than its factorization.

85981941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 243 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 85981941 is about 9272.6447683495. The cubic root of 85981941 is about 441.3695977575.

The spelling of 85981941 in words is "eighty-five million, nine hundred eighty-one thousand, nine hundred forty-one".