83201461 has 6 divisors (see below), whose sum is σ = 96785430. Its totient is φ = 71315496.

The previous prime is 83201429. The next prime is 83201473. The reversal of 83201461 is 16410238.

It can be written as a sum of positive squares in only one way, i.e., 68807025 + 14394436 = 8295^2 + 3794^2 .

It is not a de Polignac number, because 83201461 - 2⁵ = 83201429 is a prime.

It is a super-2 number, since 2×83201461² = 13844966225069042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83201411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 848946 + ... + 849043.

It is an arithmetic number, because the mean of its divisors is an integer number (16130905).

Almost surely, 2^83201461 is an apocalyptic number.

It is an amenable number.

83201461 is a deficient number, since it is larger than the sum of its proper divisors (13583969).

83201461 is a wasteful number, since it uses less digits than its factorization.

83201461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698003 (or 1697996 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 83201461 is about 9121.4834868019. The cubic root of 83201461 is about 436.5597085380.

Adding to 83201461 its reverse (16410238), we get a palindrome (99611699).

It can be divided in two parts, 83201 and 461, that multiplied together give a triangular number (38355661 = T₈₇₅₈).

The spelling of 83201461 in words is "eighty-three million, two hundred one thousand, four hundred sixty-one".