82349400 has 144 divisors (see below), whose sum is σ = 297068040. Its totient is φ = 18816000.

The previous prime is 82349381. The next prime is 82349417. The reversal of 82349400 is 494328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28000 + ... + 30800.

Almost surely, 2^82349400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82349400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148534020).

82349400 is an abundant number, since it is smaller than the sum of its proper divisors (214718640).

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

82349400 is a wasteful number, since it uses less digits than its factorization.

82349400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 82349400 is about 9074.6570183120. The cubic root of 82349400 is about 435.0643318781.

The spelling of 82349400 in words is "eighty-two million, three hundred forty-nine thousand, four hundred".