83993949 has 32 divisors (see below), whose sum is σ = 135443840. Its totient is φ = 51134976.

The previous prime is 83993939. The next prime is 83993951. The reversal of 83993949 is 94939938.

It is not a de Polignac number, because 83993949 - 2²¹ = 81896797 is a prime.

It is a super-2 number, since 2×83993949² = 14109966937229202, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83993895 and 83993904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83993909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32814 + ... + 35280.

It is an arithmetic number, because the mean of its divisors is an integer number (4232620).

Almost surely, 2^83993949 is an apocalyptic number.

It is an amenable number.

83993949 is a deficient number, since it is larger than the sum of its proper divisors (51449891).

83993949 is a wasteful number, since it uses less digits than its factorization.

83993949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2580 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 83993949 is about 9164.8212748531. The cubic root of 83993949 is about 437.9413976766.

The spelling of 83993949 in words is "eighty-three million, nine hundred ninety-three thousand, nine hundred forty-nine".