83138946 has 64 divisors (see below), whose sum is σ = 192568320. Its totient is φ = 23664960.

The previous prime is 83138933. The next prime is 83138947. The reversal of 83138946 is 64983138.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83138898 and 83138907.

It is not an unprimeable number, because it can be changed into a prime (83138947) 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, 209220 + ... + 209616.

It is an arithmetic number, because the mean of its divisors is an integer number (3008880).

Almost surely, 2^83138946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83138946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96284160).

83138946 is an abundant number, since it is smaller than the sum of its proper divisors (109429374).

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

83138946 is a wasteful number, since it uses less digits than its factorization.

83138946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599.

The product of its digits is 124416, while the sum is 42.

The square root of 83138946 is about 9118.0560428197. The cubic root of 83138946 is about 436.4503419955.

The spelling of 83138946 in words is "eighty-three million, one hundred thirty-eight thousand, nine hundred forty-six".