83258406 has 144 divisors (see below), whose sum is σ = 233705472. Its totient is φ = 20956320.

The previous prime is 83258393. The next prime is 83258411. The reversal of 83258406 is 60485238.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 655515 + ... + 655641.

Almost surely, 2^83258406 is an apocalyptic number.

83258406 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 83258406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116852736).

83258406 is an abundant number, since it is smaller than the sum of its proper divisors (150447066).

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

83258406 is a wasteful number, since it uses less digits than its factorization.

83258406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 83258406 is about 9124.6044297821. The cubic root of 83258406 is about 436.6592830042.

The spelling of 83258406 in words is "eighty-three million, two hundred fifty-eight thousand, four hundred six".