• 29641² = 878588881 is the smallest square that contains exactly six digits '8'.

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29641 has 2 divisors, whose sum is σ = 29642. Its totient is φ = 29640.

The previous prime is 29633. The next prime is 29663. The reversal of 29641 is 14692.

It is an a-pointer prime, because the next prime (29663) can be obtained adding 29641 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29241 + 400 = 171^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 29641 - 2³ = 29633 is a prime.

It is a zygodrome in base 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14820 + 14821.

It is an arithmetic number, because the mean of its divisors is an integer number (14821).

2²⁹⁶⁴¹ is an apocalyptic number.

It is an amenable number.

29641 is a deficient number, since it is larger than the sum of its proper divisors (1).

29641 is an equidigital number, since it uses as much as digits as its factorization.

29641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 22.

The square root of 29641 is about 172.1656179381. The cubic root of 29641 is about 30.9478832950.

The spelling of 29641 in words is "twenty-nine thousand, six hundred forty-one".