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BaseRepresentation
bin111110000001
312110000
4332001
5111334
630213
714400
oct7601
95400
103969
112a89
122369
131a64
141637
151299
hexf81

3969 has 15 divisors (see below), whose sum is σ = 6897. Its totient is φ = 2268.

The previous prime is 3967. The next prime is 3989. The reversal of 3969 is 9693.

3969 = T62 + T63.

The square root of 3969 is 63.

It is a perfect power (a square), and thus also a powerful number.

3969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3969 - 21 = 3967 is a prime.

It is a super-2 number, since 2×39692 = 31505922, which contains 22 as substring.

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

3969 is a lucky number.

It is a plaindrome in base 5, base 12 and base 15.

It is a nialpdrome in base 9 and base 16.

It is not an unprimeable number, because it can be changed into a prime (3967) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 564 + ... + 570.

It is a Proth number, since it is equal to 31 ⋅ 27 + 1 and 31 < 27.

23969 is an apocalyptic number.

3969 is the 63-rd square number.

3969 is the 32-nd centered octagonal number.

It is an amenable number.

3969 is a deficient number, since it is larger than the sum of its proper divisors (2928).

3969 is an equidigital number, since it uses as much as digits as its factorization.

3969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 10 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The cubic root of 3969 is about 15.8328962637.

The spelling of 3969 in words is "three thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969