82273464 has 192 divisors, whose sum is σ = 284356800. Its totient is φ = 20901888.

The previous prime is 82273463. The next prime is 82273481. The reversal of 82273464 is 46437228.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82273463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189792 + ... + 190224.

It is an arithmetic number, because the mean of its divisors is an integer number (1481025).

Almost surely, 2^82273464 is an apocalyptic number.

82273464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82273464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178400).

82273464 is an abundant number, since it is smaller than the sum of its proper divisors (202083336).

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

82273464 is a wasteful number, since it uses less digits than its factorization.

82273464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 487 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 82273464 is about 9070.4720935572. The cubic root of 82273464 is about 434.9305636295.

The spelling of 82273464 in words is "eighty-two million, two hundred seventy-three thousand, four hundred sixty-four".