83150145 has 80 divisors (see below), whose sum is σ = 170145360. Its totient is φ = 38486016.

The previous prime is 83150101. The next prime is 83150167. The reversal of 83150145 is 54105138.

It can be written as a sum of positive squares in 8 ways, for example, as 15186609 + 67963536 = 3897^2 + 8244^2 .

It is not a de Polignac number, because 83150145 - 2⁸ = 83149889 is a prime.

It is a super-2 number, since 2×83150145² = 13827893227042050, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89041 + ... + 89969.

It is an arithmetic number, because the mean of its divisors is an integer number (2126817).

Almost surely, 2^83150145 is an apocalyptic number.

83150145 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

83150145 is the 5265-th octagonal number.

It is an amenable number.

83150145 is an abundant number, since it is smaller than the sum of its proper divisors (86995215).

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

83150145 is a wasteful number, since it uses less digits than its factorization.

83150145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 83150145 is about 9118.6701333034. The cubic root of 83150145 is about 436.4699380579.

The spelling of 83150145 in words is "eighty-three million, one hundred fifty thousand, one hundred forty-five".