82201743 has 16 divisors (see below), whose sum is σ = 131148640. Its totient is φ = 50585472.

The previous prime is 82201729. The next prime is 82201759. The reversal of 82201743 is 34710228.

It is not a de Polignac number, because 82201743 - 2⁴ = 82201727 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82201703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116746 + ... + 117447.

It is an arithmetic number, because the mean of its divisors is an integer number (8196790).

Almost surely, 2^82201743 is an apocalyptic number.

82201743 is a deficient number, since it is larger than the sum of its proper divisors (48946897).

82201743 is a wasteful number, since it uses less digits than its factorization.

82201743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234215 (or 234209 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82201743 is about 9066.5176887270. The cubic root of 82201743 is about 434.8041448870.

It can be divided in two parts, 82201 and 743, that added together give a square (82944 = 288²).

The spelling of 82201743 in words is "eighty-two million, two hundred one thousand, seven hundred forty-three".