82396314 has 192 divisors, whose sum is σ = 254741760. Its totient is φ = 18524160.

The previous prime is 82396253. The next prime is 82396333. The reversal of 82396314 is 41369328.

82396314 = T₂₄₅₇ + T₂₄₅₈ + ... + T₂₄₈₃.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306172 + ... + 306440.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 2^82396314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82396314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

82396314 is an abundant number, since it is smaller than the sum of its proper divisors (172345446).

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

82396314 is a wasteful number, since it uses less digits than its factorization.

82396314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 322 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 82396314 is about 9077.2415413494. The cubic root of 82396314 is about 435.1469341126.

The spelling of 82396314 in words is "eighty-two million, three hundred ninety-six thousand, three hundred fourteen".