83763981 has 36 divisors (see below), whose sum is σ = 149038812. Its totient is φ = 45045504.

The previous prime is 83763961. The next prime is 83764001. The reversal of 83763981 is 18936738.

It is a happy number.

83763981 is a `hidden beast` number, since 8 + 3 + 7 + 639 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (83763961) and next prime (83764001).

It can be written as a sum of positive squares in 2 ways, for example, as 52794756 + 30969225 = 7266^2 + 5565^2 .

It is not a de Polignac number, because 83763981 - 2⁵ = 83763949 is a prime.

It is a super-2 number, since 2×83763981² = 14032809025936722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83763931) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1911 + ... + 13083.

It is an arithmetic number, because the mean of its divisors is an integer number (4139967).

Almost surely, 2^83763981 is an apocalyptic number.

It is an amenable number.

83763981 is a deficient number, since it is larger than the sum of its proper divisors (65274831).

83763981 is a wasteful number, since it uses less digits than its factorization.

83763981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11210 (or 11200 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 83763981 is about 9152.2664406146. The cubic root of 83763981 is about 437.5413507582.

The spelling of 83763981 in words is "eighty-three million, seven hundred sixty-three thousand, nine hundred eighty-one".