83760381 has 24 divisors (see below), whose sum is σ = 127235160. Its totient is φ = 53020800.

The previous prime is 83760371. The next prime is 83760389. The reversal of 83760381 is 18306738.

It can be written as a sum of positive squares in 4 ways, for example, as 4372281 + 79388100 = 2091^2 + 8910^2 .

It is not a de Polignac number, because 83760381 - 2¹³ = 83752189 is a prime.

It is a super-2 number, since 2×83760381² = 14031602850530322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83760389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13291 + ... + 18551.

It is an arithmetic number, because the mean of its divisors is an integer number (5301465).

Almost surely, 2^83760381 is an apocalyptic number.

It is an amenable number.

83760381 is a deficient number, since it is larger than the sum of its proper divisors (43474779).

83760381 is a wasteful number, since it uses less digits than its factorization.

83760381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 83760381 is about 9152.0697659054. The cubic root of 83760381 is about 437.5350824656.

The spelling of 83760381 in words is "eighty-three million, seven hundred sixty thousand, three hundred eighty-one".