83767945 has 16 divisors (see below), whose sum is σ = 102649680. Its totient is φ = 65606400.

The previous prime is 83767919. The next prime is 83767969. The reversal of 83767945 is 54976738.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 26296384 + 57471561 = 5128^2 + 7581^2 .

It is not a de Polignac number, because 83767945 - 2¹¹ = 83765897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81535 + ... + 82555.

It is an arithmetic number, because the mean of its divisors is an integer number (6415605).

Almost surely, 2^83767945 is an apocalyptic number.

It is an amenable number.

83767945 is a deficient number, since it is larger than the sum of its proper divisors (18881735).

83767945 is a wasteful number, since it uses less digits than its factorization.

83767945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356.

The product of its digits is 1270080, while the sum is 49.

The square root of 83767945 is about 9152.4829964333. The cubic root of 83767945 is about 437.5482526371.

The spelling of 83767945 in words is "eighty-three million, seven hundred sixty-seven thousand, nine hundred forty-five".