83806461 has 8 divisors (see below), whose sum is σ = 124157760. Its totient is φ = 55870956.

The previous prime is 83806453. The next prime is 83806469. The reversal of 83806461 is 16460838.

It is a happy number.

83806461 is a `hidden beast` number, since 8 + 3 + 8 + 0 + 646 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (83806453) and next prime (83806469).

It is not a de Polignac number, because 83806461 - 2³ = 83806453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83806469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1551945 + ... + 1551998.

It is an arithmetic number, because the mean of its divisors is an integer number (15519720).

Almost surely, 2^83806461 is an apocalyptic number.

It is an amenable number.

83806461 is a deficient number, since it is larger than the sum of its proper divisors (40351299).

83806461 is a wasteful number, since it uses less digits than its factorization.

83806461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103952 (or 3103946 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83806461 is about 9154.5868830876. The cubic root of 83806461 is about 437.6153030514.

It can be divided in two parts, 8380 and 6461, that added together give a palindrome (14841).

The spelling of 83806461 in words is "eighty-three million, eight hundred six thousand, four hundred sixty-one".