83084031 has 12 divisors (see below), whose sum is σ = 120255408. Its totient is φ = 55276224.

The previous prime is 83084021. The next prime is 83084047. The reversal of 83084031 is 13048038.

It is not a de Polignac number, because 83084031 - 2¹⁷ = 82952959 is a prime.

It is a super-2 number, since 2×83084031² = 13805912414417922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83083986 and 83084004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83084011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4650 + ... + 13703.

It is an arithmetic number, because the mean of its divisors is an integer number (10021284).

Almost surely, 2^83084031 is an apocalyptic number.

83084031 is a deficient number, since it is larger than the sum of its proper divisors (37171377).

83084031 is a wasteful number, since it uses less digits than its factorization.

83084031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18862 (or 18859 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83084031 is about 9115.0442127288. The cubic root of 83084031 is about 436.3542259926.

The spelling of 83084031 in words is "eighty-three million, eighty-four thousand, thirty-one".