993406141 has 8 divisors (see below), whose sum is σ = 1222653824. Its totient is φ = 785991600.

The previous prime is 993406123. The next prime is 993406151. The reversal of 993406141 is 141604399.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 993406141 - 2⁵ = 993406109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 993406141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993406121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5458185 + ... + 5458366.

It is an arithmetic number, because the mean of its divisors is an integer number (152831728).

Almost surely, 2^993406141 is an apocalyptic number.

993406141 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

993406141 is a deficient number, since it is larger than the sum of its proper divisors (229247683).

993406141 is a wasteful number, since it uses less digits than its factorization.

993406141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10916571.

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 993406141 is about 31518.3461019134. The cubic root of 993406141 is about 997.7971982273.

The spelling of 993406141 in words is "nine hundred ninety-three million, four hundred six thousand, one hundred forty-one".