83225961 has 60 divisors (see below), whose sum is σ = 155844612. Its totient is φ = 43872192.

The previous prime is 83225959. The next prime is 83225963. The reversal of 83225961 is 16952238.

It is an interprime number because it is at equal distance from previous prime (83225959) and next prime (83225963).

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 52490025 = 5544^2 + 7245^2 .

It is not a de Polignac number, because 83225961 - 2¹ = 83225959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83225963) 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 59 ways as a sum of consecutive naturals, for example, 50791 + ... + 52403.

Almost surely, 2^83225961 is an apocalyptic number.

83225961 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

83225961 is a deficient number, since it is larger than the sum of its proper divisors (72618651).

83225961 is a wasteful number, since it uses less digits than its factorization.

83225961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1636 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 83225961 is about 9122.8263712514. The cubic root of 83225961 is about 436.6025549939.

The spelling of 83225961 in words is "eighty-three million, two hundred twenty-five thousand, nine hundred sixty-one".