212761029 has 24 divisors (see below), whose sum is σ = 317114112. Its totient is φ = 126696960.

The previous prime is 212761019. The next prime is 212761039. The reversal of 212761029 is 920167212.

It is an interprime number because it is at equal distance from previous prime (212761019) and next prime (212761039).

It is not a de Polignac number, because 212761029 - 2⁷ = 212760901 is a prime.

It is a super-2 number, since 2×212761029² = 90534510922277682, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 212760987 and 212761005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212761019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8949 + ... + 22485.

It is an arithmetic number, because the mean of its divisors is an integer number (13213088).

Almost surely, 2^212761029 is an apocalyptic number.

It is an amenable number.

212761029 is a deficient number, since it is larger than the sum of its proper divisors (104353083).

212761029 is a wasteful number, since it uses less digits than its factorization.

212761029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13597 (or 13584 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 212761029 is about 14586.3302101660. The cubic root of 212761029 is about 596.9858361608.

The spelling of 212761029 in words is "two hundred twelve million, seven hundred sixty-one thousand, twenty-nine".