83969 has 2 divisors, whose sum is σ = 83970. Its totient is φ = 83968.

The previous prime is 83939. The next prime is 83983. The reversal of 83969 is 96938.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82369 + 1600 = 287^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 83969 - 2¹² = 79873 is a prime.

It is a super-2 number, since 2×83969² = 14101585922, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (83939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41984 + 41985.

It is an arithmetic number, because the mean of its divisors is an integer number (41985).

It is a Proth number, since it is equal to 41 ⋅ 2¹¹ + 1 and 41 < 2¹¹.

2⁸³⁹⁶⁹ is an apocalyptic number.

It is an amenable number.

83969 is a deficient number, since it is larger than the sum of its proper divisors (1).

83969 is an equidigital number, since it uses as much as digits as its factorization.

83969 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 35.

The square root of 83969 is about 289.7740499079. The cubic root of 83969 is about 43.7898032323.

The spelling of 83969 in words is "eighty-three thousand, nine hundred sixty-nine".