247633 has 2 divisors, whose sum is σ = 247634. Its totient is φ = 247632.

The previous prime is 247613. The next prime is 247649. The reversal of 247633 is 336742.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 61009 = 432^2 + 247^2 .

It is a cyclic number.

It is not a de Polignac number, because 247633 - 2⁵ = 247601 is a prime.

It is a super-2 number, since 2×247633² = 122644205378, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2 + 4⁶ + 6⁶ + 7² + 3⁹ + 3¹¹ .

It is a junction number, because it is equal to n+sod(n) for n = 247598 and 247607.

It is not a weakly prime, because it can be changed into another prime (247603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123816 + 123817.

It is an arithmetic number, because the mean of its divisors is an integer number (123817).

2²⁴⁷⁶³³ is an apocalyptic number.

It is an amenable number.

247633 is a deficient number, since it is larger than the sum of its proper divisors (1).

247633 is an equidigital number, since it uses as much as digits as its factorization.

247633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 25.

The square root of 247633 is about 497.6273706299. The cubic root of 247633 is about 62.7966061698.

It can be divided in two parts, 2 and 47633, that multiplied together give a triangular number (95266 = T₄₃₆).

The spelling of 247633 in words is "two hundred forty-seven thousand, six hundred thirty-three".