83784953 has 16 divisors (see below), whose sum is σ = 98476800. Its totient is φ = 71251488.

The previous prime is 83784949. The next prime is 83784977. The reversal of 83784953 is 35948738.

It is not a de Polignac number, because 83784953 - 2² = 83784949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83784898 and 83784907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83784913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46100 + ... + 47882.

It is an arithmetic number, because the mean of its divisors is an integer number (6154800).

Almost surely, 2^83784953 is an apocalyptic number.

It is an amenable number.

83784953 is a deficient number, since it is larger than the sum of its proper divisors (14691847).

83784953 is a wasteful number, since it uses less digits than its factorization.

83784953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1927 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The square root of 83784953 is about 9153.4120960437. The cubic root of 83784953 is about 437.5778634749.

It can be divided in two parts, 8378 and 4953, that added together give a palindrome (13331).

The spelling of 83784953 in words is "eighty-three million, seven hundred eighty-four thousand, nine hundred fifty-three".