83213190 has 64 divisors (see below), whose sum is σ = 227344320. Its totient is φ = 21646080.

The previous prime is 83213189. The next prime is 83213191. The reversal of 83213190 is 9131238.

It is an interprime number because it is at equal distance from previous prime (83213189) and next prime (83213191).

It is a super-2 number, since 2×83213190² = 13848869979952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83213191) 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, 7312 + ... + 14828.

It is an arithmetic number, because the mean of its divisors is an integer number (3552255).

Almost surely, 2^83213190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83213190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113672160).

83213190 is an abundant number, since it is smaller than the sum of its proper divisors (144131130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83213190 is a wasteful number, since it uses less digits than its factorization.

83213190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7574 (or 7568 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 83213190 is about 9122.1263968441. The cubic root of 83213190 is about 436.5802216723.

It can be divided in two parts, 8321 and 3190, that added together give a palindrome (11511).

The spelling of 83213190 in words is "eighty-three million, two hundred thirteen thousand, one hundred ninety".