82817436 has 72 divisors (see below), whose sum is σ = 211908144. Its totient is φ = 25159680.

The previous prime is 82817419. The next prime is 82817477. The reversal of 82817436 is 63471828.

It is a super-2 number, since 2×82817436² = 13717455411228192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 82817394 and 82817403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196506 + ... + 196926.

Almost surely, 2^82817436 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 82817436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105954072).

82817436 is an abundant number, since it is smaller than the sum of its proper divisors (129090708).

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

82817436 is a wasteful number, since it uses less digits than its factorization.

82817436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 536 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 82817436 is about 9100.4085622570. The cubic root of 82817436 is about 435.8870102520.

It can be divided in two parts, 8281 and 7436, that multiplied together give a palindrome (61577516).

The spelling of 82817436 in words is "eighty-two million, eight hundred seventeen thousand, four hundred thirty-six".